GCD of 424, 390, 922, 288 Calculator

Given Input numbers are 424, 390, 922, 288

In the factoring method, we have to find the divisors of all numbers

Divisors of 424 :

The positive integer divisors of 424 that completely divides 424 are.

1, 2, 4, 8, 53, 106, 212, 424

Divisors of 390 :

The positive integer divisors of 390 that completely divides 390 are.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 922 :

The positive integer divisors of 922 that completely divides 922 are.

1, 2, 461, 922

Divisors of 288 :

The positive integer divisors of 288 that completely divides 288 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

GCD of numbers is the greatest common divisor

So, the GCD (424, 390, 922, 288) = 2.

Given numbers are 424, 390, 922, 288

The list of prime factors of all numbers are

Prime factors of 424 are 2 x 2 x 2 x 53

Prime factors of 390 are 2 x 3 x 5 x 13

Prime factors of 922 are 2 x 461

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 424, 390, 922, 288 is 2.

Given numbers are 424, 390, 922, 288

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(424, 390) = 82680

GCD(424, 390) = ( 424 x 390 ) / 82680

= 424 / 390

= 424

Step2:

LCM(2, 922) = 922

GCD(2, 922) = ( 2 x 922 ) / 922

= 2 / 922

= 2

Step3:

LCM(2, 288) = 288

GCD(2, 288) = ( 2 x 288 ) / 288

= 2 / 288

= 2

So, Greatest Common Divisor of 424, 390, 922, 288 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 560, 333, 170, 306
• GCD of 931, 502, 778, 422
• GCD of 180, 334, 574, 168
• GCD of 306, 707, 921, 852
• GCD of 901, 609, 764, 352

Given numbers are 424, 390, 922, 288
The greatest common divisor of numbers 424, 390, 922, 288 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 424, 390, 922, 288 is 2.

1. What is the GCD of 424, 390, 922, 288?

GCD of given numbers 424, 390, 922, 288 is 2

2. How to calculate the greatest common divisor of 424, 390, 922, 288?

We can find the highest common divisor of 424, 390, 922, 288 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 424, 390, 922, 288 i.e 2.

3. How can I use the GCD of 424, 390, 922, 288Calculator?

Out the numbers 424, 390, 922, 288 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.